Week 16: Math Bridges (Proportional Relationships)

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

Define constant of proportionality.

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Front

If y = 76x, what does 76 represent?

Back

In the equation y = 76x, 76 is the constant of proportionality, indicating that for every gallon of gas used (x), 76 miles can be traveled (y).

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality from a graph, identify the ratio of the y-value to the x-value at any point on the line.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

If Kenny types 720 words in 18 minutes, how many words does he type per minute?

Back

Kenny types 40 words per minute (720 words ÷ 18 minutes = 40 words/minute).

Front

What is the relationship between miles traveled and gallons of gas used in the equation y = 76x?

Back

The relationship indicates that for every gallon of gas used, 76 miles can be traveled.

Front

What does it mean if a representation does NOT show the number of minutes in an hour?

Back

It means that the representation does not accurately depict the relationship or conversion of minutes to hours, which is 60 minutes in 1 hour.

Front

How can you determine a missing number in a proportional table?

Back

To determine a missing number in a proportional table, use the constant of proportionality to set up a ratio and solve for the unknown.

Front

What is the significance of the number 240 in a proportional relationship?

Back

The number 240 may represent a value that maintains the constant ratio in a proportional relationship, depending on the context of the table.